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Finding the Fourth Proportional to 253,543.84, 349,877.18 and 138,800.50

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Solution

The fourth proportional to 253,543.84, 349,877.18 and 138,800.50 is: 191,537.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,543.84 : 349,877.18 = 138,800.50 : x
  2. Step 2: Convert to fraction form
    253,543.84/349,877.18 = 138,800.50/x
  3. Step 3: Cross multiply
    253,543.84x = 349,877.18 × 138,800.50
  4. Step 4: Simplify right side
    253,543.84x = 48,563,127,522.59
  5. Step 5: Solve for x
    x = 48,563,127,522.59/253,543.84
  6. Step 6: Final answer
    x = 191,537.40

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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.