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Finding the Fourth Proportional to 99,151.88, 148,730.55 and 29,031.20

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Solution

The fourth proportional to 99,151.88, 148,730.55 and 29,031.20 is: 43,547.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,151.88 : 148,730.55 = 29,031.20 : x
  2. Step 2: Convert to fraction form
    99,151.88/148,730.55 = 29,031.20/x
  3. Step 3: Cross multiply
    99,151.88x = 148,730.55 × 29,031.20
  4. Step 4: Simplify right side
    99,151.88x = 4,317,825,599.51
  5. Step 5: Solve for x
    x = 4,317,825,599.51/99,151.88
  6. Step 6: Final answer
    x = 43,547.59

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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.