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Finding the Fourth Proportional to 242,602.96, 363,970.32 and 137,495.74

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Solution

The fourth proportional to 242,602.96, 363,970.32 and 137,495.74 is: 206,280.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,602.96 : 363,970.32 = 137,495.74 : x
  2. Step 2: Convert to fraction form
    242,602.96/363,970.32 = 137,495.74/x
  3. Step 3: Cross multiply
    242,602.96x = 363,970.32 × 137,495.74
  4. Step 4: Simplify right side
    242,602.96x = 50,044,368,486.44
  5. Step 5: Solve for x
    x = 50,044,368,486.44/242,602.96
  6. Step 6: Final answer
    x = 206,280.95

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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.