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Finding the Fourth Proportional to 138,915, 191,702.70 and 75,252.78

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Solution

The fourth proportional to 138,915, 191,702.70 and 75,252.78 is: 103,848.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,915 : 191,702.70 = 75,252.78 : x
  2. Step 2: Convert to fraction form
    138,915/191,702.70 = 75,252.78/x
  3. Step 3: Cross multiply
    138,915x = 191,702.70 × 75,252.78
  4. Step 4: Simplify right side
    138,915x = 14,426,161,108.51
  5. Step 5: Solve for x
    x = 14,426,161,108.51/138,915
  6. Step 6: Final answer
    x = 103,848.84

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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.