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Finding the Fourth Proportional to 153,408, 230,114.88 and 42,602.88

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Solution

The fourth proportional to 153,408, 230,114.88 and 42,602.88 is: 63,905.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,408 : 230,114.88 = 42,602.88 : x
  2. Step 2: Convert to fraction form
    153,408/230,114.88 = 42,602.88/x
  3. Step 3: Cross multiply
    153,408x = 230,114.88 × 42,602.88
  4. Step 4: Simplify right side
    153,408x = 9,803,556,618.85
  5. Step 5: Solve for x
    x = 9,803,556,618.85/153,408
  6. Step 6: Final answer
    x = 63,905.12

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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.