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Finding the Fourth Proportional to 242,047.89, 333,970.97 and 140,070.78

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Solution

The fourth proportional to 242,047.89, 333,970.97 and 140,070.78 is: 193,265.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,047.89 : 333,970.97 = 140,070.78 : x
  2. Step 2: Convert to fraction form
    242,047.89/333,970.97 = 140,070.78/x
  3. Step 3: Cross multiply
    242,047.89x = 333,970.97 × 140,070.78
  4. Step 4: Simplify right side
    242,047.89x = 46,779,573,564.90
  5. Step 5: Solve for x
    x = 46,779,573,564.90/242,047.89
  6. Step 6: Final answer
    x = 193,265.78

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1.5x scale

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.