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Finding the Fourth Proportional to 65,284,892.80, 97,843,358.40 and 39,698,742.40

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Solution

The fourth proportional to 65,284,892.80, 97,843,358.40 and 39,698,742.40 is: 59,497,046.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,284,892.80 : 97,843,358.40 = 39,698,742.40 : x
  2. Step 2: Convert to fraction form
    65,284,892.80/97,843,358.40 = 39,698,742.40/x
  3. Step 3: Cross multiply
    65,284,892.80x = 97,843,358.40 × 39,698,742.40
  4. Step 4: Simplify right side
    65,284,892.80x = 3,884,258,280,672,476.50
  5. Step 5: Solve for x
    x = 3,884,258,280,672,476.50/65,284,892.80
  6. Step 6: Final answer
    x = 59,497,046.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.