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Finding the Fourth Proportional to 310,102.64, 465,186.14 and 85,463.10

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Solution

The fourth proportional to 310,102.64, 465,186.14 and 85,463.10 is: 128,203.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,102.64 : 465,186.14 = 85,463.10 : x
  2. Step 2: Convert to fraction form
    310,102.64/465,186.14 = 85,463.10/x
  3. Step 3: Cross multiply
    310,102.64x = 465,186.14 × 85,463.10
  4. Step 4: Simplify right side
    310,102.64x = 39,756,249,601.43
  5. Step 5: Solve for x
    x = 39,756,249,601.43/310,102.64
  6. Step 6: Final answer
    x = 128,203.52

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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.