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Finding the Fourth Proportional to 125,970.93, 173,826.91 and 77,565.13

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Solution

The fourth proportional to 125,970.93, 173,826.91 and 77,565.13 is: 107,031.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,970.93 : 173,826.91 = 77,565.13 : x
  2. Step 2: Convert to fraction form
    125,970.93/173,826.91 = 77,565.13/x
  3. Step 3: Cross multiply
    125,970.93x = 173,826.91 × 77,565.13
  4. Step 4: Simplify right side
    125,970.93x = 13,482,906,534.04
  5. Step 5: Solve for x
    x = 13,482,906,534.04/125,970.93
  6. Step 6: Final answer
    x = 107,031.89

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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.