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Finding the Fourth Proportional to 100,122.48, 138,166.29 and 61,866.72

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Solution

The fourth proportional to 100,122.48, 138,166.29 and 61,866.72 is: 85,374.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,122.48 : 138,166.29 = 61,866.72 : x
  2. Step 2: Convert to fraction form
    100,122.48/138,166.29 = 61,866.72/x
  3. Step 3: Cross multiply
    100,122.48x = 138,166.29 × 61,866.72
  4. Step 4: Simplify right side
    100,122.48x = 8,547,895,176.87
  5. Step 5: Solve for x
    x = 8,547,895,176.87/100,122.48
  6. Step 6: Final answer
    x = 85,374.39

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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.