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Finding the Fourth Proportional to 102,547.68, 153,806.16 and 85,129.44

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Solution

The fourth proportional to 102,547.68, 153,806.16 and 85,129.44 is: 127,681.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,547.68 : 153,806.16 = 85,129.44 : x
  2. Step 2: Convert to fraction form
    102,547.68/153,806.16 = 85,129.44/x
  3. Step 3: Cross multiply
    102,547.68x = 153,806.16 × 85,129.44
  4. Step 4: Simplify right side
    102,547.68x = 13,093,432,269.35
  5. Step 5: Solve for x
    x = 13,093,432,269.35/102,547.68
  6. Step 6: Final answer
    x = 127,681.41

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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.