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Finding the Fourth Proportional to 137,400, 189,612 and 77,784

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Solution

The fourth proportional to 137,400, 189,612 and 77,784 is: 107,341.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,400 : 189,612 = 77,784 : x
  2. Step 2: Convert to fraction form
    137,400/189,612 = 77,784/x
  3. Step 3: Cross multiply
    137,400x = 189,612 × 77,784
  4. Step 4: Simplify right side
    137,400x = 14,748,779,808
  5. Step 5: Solve for x
    x = 14,748,779,808/137,400
  6. Step 6: Final answer
    x = 107,341.92

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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.