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Finding the Fourth Proportional to 242,642.10, 363,973.95 and 82,715.70

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Solution

The fourth proportional to 242,642.10, 363,973.95 and 82,715.70 is: 124,077.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,642.10 : 363,973.95 = 82,715.70 : x
  2. Step 2: Convert to fraction form
    242,642.10/363,973.95 = 82,715.70/x
  3. Step 3: Cross multiply
    242,642.10x = 363,973.95 × 82,715.70
  4. Step 4: Simplify right side
    242,642.10x = 30,106,360,056.02
  5. Step 5: Solve for x
    x = 30,106,360,056.02/242,642.10
  6. Step 6: Final answer
    x = 124,077.23

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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.