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Finding the Fourth Proportional to 157,950.88, 236,963.76 and 47,140

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Solution

The fourth proportional to 157,950.88, 236,963.76 and 47,140 is: 70,721.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,950.88 : 236,963.76 = 47,140 : x
  2. Step 2: Convert to fraction form
    157,950.88/236,963.76 = 47,140/x
  3. Step 3: Cross multiply
    157,950.88x = 236,963.76 × 47,140
  4. Step 4: Simplify right side
    157,950.88x = 11,170,471,646.40
  5. Step 5: Solve for x
    x = 11,170,471,646.40/157,950.88
  6. Step 6: Final answer
    x = 70,721.17

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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.