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Finding the Fourth Proportional to 138,885.52, 191,648.32 and 77,620.40

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Solution

The fourth proportional to 138,885.52, 191,648.32 and 77,620.40 is: 107,108.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,885.52 : 191,648.32 = 77,620.40 : x
  2. Step 2: Convert to fraction form
    138,885.52/191,648.32 = 77,620.40/x
  3. Step 3: Cross multiply
    138,885.52x = 191,648.32 × 77,620.40
  4. Step 4: Simplify right side
    138,885.52x = 14,875,819,257.73
  5. Step 5: Solve for x
    x = 14,875,819,257.73/138,885.52
  6. Step 6: Final answer
    x = 107,108.50

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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.