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Finding the Fourth Proportional to 153,605, 230,409.12 and 42,797

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Solution

The fourth proportional to 153,605, 230,409.12 and 42,797 is: 64,195.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,605 : 230,409.12 = 42,797 : x
  2. Step 2: Convert to fraction form
    153,605/230,409.12 = 42,797/x
  3. Step 3: Cross multiply
    153,605x = 230,409.12 × 42,797
  4. Step 4: Simplify right side
    153,605x = 9,860,819,108.64
  5. Step 5: Solve for x
    x = 9,860,819,108.64/153,605
  6. Step 6: Final answer
    x = 64,195.95

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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.