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Finding the Fourth Proportional to 153,230.40, 229,910.40 and 97,113.60

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Solution

The fourth proportional to 153,230.40, 229,910.40 and 97,113.60 is: 145,711.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,230.40 : 229,910.40 = 97,113.60 : x
  2. Step 2: Convert to fraction form
    153,230.40/229,910.40 = 97,113.60/x
  3. Step 3: Cross multiply
    153,230.40x = 229,910.40 × 97,113.60
  4. Step 4: Simplify right side
    153,230.40x = 22,327,426,621.44
  5. Step 5: Solve for x
    x = 22,327,426,621.44/153,230.40
  6. Step 6: Final answer
    x = 145,711.47

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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.