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Finding the Fourth Proportional to 252,130.88, 347,931.78 and 137,407.16

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Solution

The fourth proportional to 252,130.88, 347,931.78 and 137,407.16 is: 189,617.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,130.88 : 347,931.78 = 137,407.16 : x
  2. Step 2: Convert to fraction form
    252,130.88/347,931.78 = 137,407.16/x
  3. Step 3: Cross multiply
    252,130.88x = 347,931.78 × 137,407.16
  4. Step 4: Simplify right side
    252,130.88x = 47,808,317,763.54
  5. Step 5: Solve for x
    x = 47,808,317,763.54/252,130.88
  6. Step 6: Final answer
    x = 189,617.07

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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.