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Finding the Fourth Proportional to 156,957.40, 235,436.10 and 137,274.40

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Solution

The fourth proportional to 156,957.40, 235,436.10 and 137,274.40 is: 205,911.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,957.40 : 235,436.10 = 137,274.40 : x
  2. Step 2: Convert to fraction form
    156,957.40/235,436.10 = 137,274.40/x
  3. Step 3: Cross multiply
    156,957.40x = 235,436.10 × 137,274.40
  4. Step 4: Simplify right side
    156,957.40x = 32,319,349,365.84
  5. Step 5: Solve for x
    x = 32,319,349,365.84/156,957.40
  6. Step 6: Final answer
    x = 205,911.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.