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Finding the Fourth Proportional to 137,456.68, 189,701.85 and 77,026.63

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Solution

The fourth proportional to 137,456.68, 189,701.85 and 77,026.63 is: 106,303.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,456.68 : 189,701.85 = 77,026.63 : x
  2. Step 2: Convert to fraction form
    137,456.68/189,701.85 = 77,026.63/x
  3. Step 3: Cross multiply
    137,456.68x = 189,701.85 × 77,026.63
  4. Step 4: Simplify right side
    137,456.68x = 14,612,094,210.27
  5. Step 5: Solve for x
    x = 14,612,094,210.27/137,456.68
  6. Step 6: Final answer
    x = 106,303.27

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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.