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Finding the Fourth Proportional to 157,280.30, 235,459.65 and 138,848.30

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Solution

The fourth proportional to 157,280.30, 235,459.65 and 138,848.30 is: 207,865.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,280.30 : 235,459.65 = 138,848.30 : x
  2. Step 2: Convert to fraction form
    157,280.30/235,459.65 = 138,848.30/x
  3. Step 3: Cross multiply
    157,280.30x = 235,459.65 × 138,848.30
  4. Step 4: Simplify right side
    157,280.30x = 32,693,172,121.10
  5. Step 5: Solve for x
    x = 32,693,172,121.10/157,280.30
  6. Step 6: Final answer
    x = 207,865.65

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1.5x scale

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.