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Finding the Fourth Proportional to 77,988.93, 107,624.80 and 42,178.94

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Solution

The fourth proportional to 77,988.93, 107,624.80 and 42,178.94 is: 58,206.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,988.93 : 107,624.80 = 42,178.94 : x
  2. Step 2: Convert to fraction form
    77,988.93/107,624.80 = 42,178.94/x
  3. Step 3: Cross multiply
    77,988.93x = 107,624.80 × 42,178.94
  4. Step 4: Simplify right side
    77,988.93x = 4,539,499,981.71
  5. Step 5: Solve for x
    x = 4,539,499,981.71/77,988.93
  6. Step 6: Final answer
    x = 58,206.98

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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.