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Finding the Fourth Proportional to 105,269.40, 157,953.90 and 54,641.52

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Solution

The fourth proportional to 105,269.40, 157,953.90 and 54,641.52 is: 81,988.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,269.40 : 157,953.90 = 54,641.52 : x
  2. Step 2: Convert to fraction form
    105,269.40/157,953.90 = 54,641.52/x
  3. Step 3: Cross multiply
    105,269.40x = 157,953.90 × 54,641.52
  4. Step 4: Simplify right side
    105,269.40x = 8,630,841,083.48
  5. Step 5: Solve for x
    x = 8,630,841,083.48/105,269.40
  6. Step 6: Final answer
    x = 81,988.13

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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.