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Finding the Fourth Proportional to 138,470.16, 191,088.88 and 74,807.84

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Solution

The fourth proportional to 138,470.16, 191,088.88 and 74,807.84 is: 103,234.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,470.16 : 191,088.88 = 74,807.84 : x
  2. Step 2: Convert to fraction form
    138,470.16/191,088.88 = 74,807.84/x
  3. Step 3: Cross multiply
    138,470.16x = 191,088.88 × 74,807.84
  4. Step 4: Simplify right side
    138,470.16x = 14,294,946,360.82
  5. Step 5: Solve for x
    x = 14,294,946,360.82/138,470.16
  6. Step 6: Final answer
    x = 103,234.85

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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.