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Finding the Fourth Proportional to 102,355.68, 153,549.70 and 30,315.90

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Solution

The fourth proportional to 102,355.68, 153,549.70 and 30,315.90 is: 45,478.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,355.68 : 153,549.70 = 30,315.90 : x
  2. Step 2: Convert to fraction form
    102,355.68/153,549.70 = 30,315.90/x
  3. Step 3: Cross multiply
    102,355.68x = 153,549.70 × 30,315.90
  4. Step 4: Simplify right side
    102,355.68x = 4,654,997,350.23
  5. Step 5: Solve for x
    x = 4,654,997,350.23/102,355.68
  6. Step 6: Final answer
    x = 45,478.64

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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.