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Finding the Fourth Proportional to 92,187.18, 138,390.12 and 77,578.02

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Solution

The fourth proportional to 92,187.18, 138,390.12 and 77,578.02 is: 116,459.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,187.18 : 138,390.12 = 77,578.02 : x
  2. Step 2: Convert to fraction form
    92,187.18/138,390.12 = 77,578.02/x
  3. Step 3: Cross multiply
    92,187.18x = 138,390.12 × 77,578.02
  4. Step 4: Simplify right side
    92,187.18x = 10,736,031,497.16
  5. Step 5: Solve for x
    x = 10,736,031,497.16/92,187.18
  6. Step 6: Final answer
    x = 116,459.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.