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Finding the Fourth Proportional to 137,915.42, 190,342.47 and 77,490.74

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Solution

The fourth proportional to 137,915.42, 190,342.47 and 77,490.74 is: 106,948.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,915.42 : 190,342.47 = 77,490.74 : x
  2. Step 2: Convert to fraction form
    137,915.42/190,342.47 = 77,490.74/x
  3. Step 3: Cross multiply
    137,915.42x = 190,342.47 × 77,490.74
  4. Step 4: Simplify right side
    137,915.42x = 14,749,778,853.73
  5. Step 5: Solve for x
    x = 14,749,778,853.73/137,915.42
  6. Step 6: Final answer
    x = 106,948.00

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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.