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Finding the Fourth Proportional to 137,394, 189,603.72 and 77,778

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Solution

The fourth proportional to 137,394, 189,603.72 and 77,778 is: 107,333.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,394 : 189,603.72 = 77,778 : x
  2. Step 2: Convert to fraction form
    137,394/189,603.72 = 77,778/x
  3. Step 3: Cross multiply
    137,394x = 189,603.72 × 77,778
  4. Step 4: Simplify right side
    137,394x = 14,746,998,134.16
  5. Step 5: Solve for x
    x = 14,746,998,134.16/137,394
  6. Step 6: Final answer
    x = 107,333.64

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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.