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Finding the Fourth Proportional to 153,484, 230,239.04 and 42,676

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Solution

The fourth proportional to 153,484, 230,239.04 and 42,676 is: 64,017.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,484 : 230,239.04 = 42,676 : x
  2. Step 2: Convert to fraction form
    153,484/230,239.04 = 42,676/x
  3. Step 3: Cross multiply
    153,484x = 230,239.04 × 42,676
  4. Step 4: Simplify right side
    153,484x = 9,825,681,271.04
  5. Step 5: Solve for x
    x = 9,825,681,271.04/153,484
  6. Step 6: Final answer
    x = 64,017.63

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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.