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Finding the Fourth Proportional to 157,428.84, 217,251.93 and 85,807.42

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Solution

The fourth proportional to 157,428.84, 217,251.93 and 85,807.42 is: 118,414.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,428.84 : 217,251.93 = 85,807.42 : x
  2. Step 2: Convert to fraction form
    157,428.84/217,251.93 = 85,807.42/x
  3. Step 3: Cross multiply
    157,428.84x = 217,251.93 × 85,807.42
  4. Step 4: Simplify right side
    157,428.84x = 18,641,827,603.32
  5. Step 5: Solve for x
    x = 18,641,827,603.32/157,428.84
  6. Step 6: Final answer
    x = 118,414.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.