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Finding the Fourth Proportional to 102,646.10, 153,969.15 and 88,649.30

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Solution

The fourth proportional to 102,646.10, 153,969.15 and 88,649.30 is: 132,973.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,646.10 : 153,969.15 = 88,649.30 : x
  2. Step 2: Convert to fraction form
    102,646.10/153,969.15 = 88,649.30/x
  3. Step 3: Cross multiply
    102,646.10x = 153,969.15 × 88,649.30
  4. Step 4: Simplify right side
    102,646.10x = 13,649,257,369.10
  5. Step 5: Solve for x
    x = 13,649,257,369.10/102,646.10
  6. Step 6: Final answer
    x = 132,973.95

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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.