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Finding the Fourth Proportional to 158,642.40, 218,866.14 and 101,283.87

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Solution

The fourth proportional to 158,642.40, 218,866.14 and 101,283.87 is: 139,733.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,642.40 : 218,866.14 = 101,283.87 : x
  2. Step 2: Convert to fraction form
    158,642.40/218,866.14 = 101,283.87/x
  3. Step 3: Cross multiply
    158,642.40x = 218,866.14 × 101,283.87
  4. Step 4: Simplify right side
    158,642.40x = 22,167,609,671.16
  5. Step 5: Solve for x
    x = 22,167,609,671.16/158,642.40
  6. Step 6: Final answer
    x = 139,733.20

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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.