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Finding the Fourth Proportional to 101,386.80, 152,123.40 and 70,205.04

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Solution

The fourth proportional to 101,386.80, 152,123.40 and 70,205.04 is: 105,337.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,386.80 : 152,123.40 = 70,205.04 : x
  2. Step 2: Convert to fraction form
    101,386.80/152,123.40 = 70,205.04/x
  3. Step 3: Cross multiply
    101,386.80x = 152,123.40 × 70,205.04
  4. Step 4: Simplify right side
    101,386.80x = 10,679,829,381.94
  5. Step 5: Solve for x
    x = 10,679,829,381.94/101,386.80
  6. Step 6: Final answer
    x = 105,337.47

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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.