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Finding the Fourth Proportional to 102,412.10, 153,618.15 and 84,916.10

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Solution

The fourth proportional to 102,412.10, 153,618.15 and 84,916.10 is: 127,374.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,412.10 : 153,618.15 = 84,916.10 : x
  2. Step 2: Convert to fraction form
    102,412.10/153,618.15 = 84,916.10/x
  3. Step 3: Cross multiply
    102,412.10x = 153,618.15 × 84,916.10
  4. Step 4: Simplify right side
    102,412.10x = 13,044,654,187.22
  5. Step 5: Solve for x
    x = 13,044,654,187.22/102,412.10
  6. Step 6: Final answer
    x = 127,374.15

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1.5x scale

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.