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Finding the Fourth Proportional to 113,939.40, 157,280 and 101,981.40

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Solution

The fourth proportional to 113,939.40, 157,280 and 101,981.40 is: 140,773.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,939.40 : 157,280 = 101,981.40 : x
  2. Step 2: Convert to fraction form
    113,939.40/157,280 = 101,981.40/x
  3. Step 3: Cross multiply
    113,939.40x = 157,280 × 101,981.40
  4. Step 4: Simplify right side
    113,939.40x = 16,039,634,592
  5. Step 5: Solve for x
    x = 16,039,634,592/113,939.40
  6. Step 6: Final answer
    x = 140,773.38

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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.