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Finding the Fourth Proportional to 153,013.50, 229,533.21 and 42,205.50

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Solution

The fourth proportional to 153,013.50, 229,533.21 and 42,205.50 is: 63,311.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,013.50 : 229,533.21 = 42,205.50 : x
  2. Step 2: Convert to fraction form
    153,013.50/229,533.21 = 42,205.50/x
  3. Step 3: Cross multiply
    153,013.50x = 229,533.21 × 42,205.50
  4. Step 4: Simplify right side
    153,013.50x = 9,687,563,894.66
  5. Step 5: Solve for x
    x = 9,687,563,894.66/153,013.50
  6. Step 6: Final answer
    x = 63,311.82

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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.