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Finding the Fourth Proportional to 154,830, 232,245.37 and 42,511.76

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Solution

The fourth proportional to 154,830, 232,245.37 and 42,511.76 is: 63,767.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,830 : 232,245.37 = 42,511.76 : x
  2. Step 2: Convert to fraction form
    154,830/232,245.37 = 42,511.76/x
  3. Step 3: Cross multiply
    154,830x = 232,245.37 × 42,511.76
  4. Step 4: Simplify right side
    154,830x = 9,873,159,430.55
  5. Step 5: Solve for x
    x = 9,873,159,430.55/154,830
  6. Step 6: Final answer
    x = 63,767.74

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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.