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Finding the Fourth Proportional to 253,602.08, 349,970.72 and 140,432

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Solution

The fourth proportional to 253,602.08, 349,970.72 and 140,432 is: 193,796.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,602.08 : 349,970.72 = 140,432 : x
  2. Step 2: Convert to fraction form
    253,602.08/349,970.72 = 140,432/x
  3. Step 3: Cross multiply
    253,602.08x = 349,970.72 × 140,432
  4. Step 4: Simplify right side
    253,602.08x = 49,147,088,151.04
  5. Step 5: Solve for x
    x = 49,147,088,151.04/253,602.08
  6. Step 6: Final answer
    x = 193,796.08

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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.