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Finding the Fourth Proportional to 105,442.98, 145,511.76 and 57,044.76

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Solution

The fourth proportional to 105,442.98, 145,511.76 and 57,044.76 is: 78,722.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,442.98 : 145,511.76 = 57,044.76 : x
  2. Step 2: Convert to fraction form
    105,442.98/145,511.76 = 57,044.76/x
  3. Step 3: Cross multiply
    105,442.98x = 145,511.76 × 57,044.76
  4. Step 4: Simplify right side
    105,442.98x = 8,300,683,426.38
  5. Step 5: Solve for x
    x = 8,300,683,426.38/105,442.98
  6. Step 6: Final answer
    x = 78,722.01

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1.5x scale

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.