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Finding the Fourth Proportional to 134,204.64, 201,315.60 and 78,684

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Solution

The fourth proportional to 134,204.64, 201,315.60 and 78,684 is: 118,031.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,204.64 : 201,315.60 = 78,684 : x
  2. Step 2: Convert to fraction form
    134,204.64/201,315.60 = 78,684/x
  3. Step 3: Cross multiply
    134,204.64x = 201,315.60 × 78,684
  4. Step 4: Simplify right side
    134,204.64x = 15,840,316,670.40
  5. Step 5: Solve for x
    x = 15,840,316,670.40/134,204.64
  6. Step 6: Final answer
    x = 118,031.07

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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.