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Finding the Fourth Proportional to 114,342.78, 157,739.90 and 74,070.12

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Solution

The fourth proportional to 114,342.78, 157,739.90 and 74,070.12 is: 102,182.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,342.78 : 157,739.90 = 74,070.12 : x
  2. Step 2: Convert to fraction form
    114,342.78/157,739.90 = 74,070.12/x
  3. Step 3: Cross multiply
    114,342.78x = 157,739.90 × 74,070.12
  4. Step 4: Simplify right side
    114,342.78x = 11,683,812,951.44
  5. Step 5: Solve for x
    x = 11,683,812,951.44/114,342.78
  6. Step 6: Final answer
    x = 102,182.34

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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.