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Finding the Fourth Proportional to 253,038.76, 349,193.51 and 138,317.86

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Solution

The fourth proportional to 253,038.76, 349,193.51 and 138,317.86 is: 190,878.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,038.76 : 349,193.51 = 138,317.86 : x
  2. Step 2: Convert to fraction form
    253,038.76/349,193.51 = 138,317.86/x
  3. Step 3: Cross multiply
    253,038.76x = 349,193.51 × 138,317.86
  4. Step 4: Simplify right side
    253,038.76x = 48,299,696,591.53
  5. Step 5: Solve for x
    x = 48,299,696,591.53/253,038.76
  6. Step 6: Final answer
    x = 190,878.65

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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.