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Finding the Fourth Proportional to 160,681.50, 221,648.13 and 100,223.10

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Solution

The fourth proportional to 160,681.50, 221,648.13 and 100,223.10 is: 138,250.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,681.50 : 221,648.13 = 100,223.10 : x
  2. Step 2: Convert to fraction form
    160,681.50/221,648.13 = 100,223.10/x
  3. Step 3: Cross multiply
    160,681.50x = 221,648.13 × 100,223.10
  4. Step 4: Simplify right side
    160,681.50x = 22,214,262,697.80
  5. Step 5: Solve for x
    x = 22,214,262,697.80/160,681.50
  6. Step 6: Final answer
    x = 138,250.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.