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Finding the Fourth Proportional to 105,309, 157,963.50 and 31,437

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Solution

The fourth proportional to 105,309, 157,963.50 and 31,437 is: 47,155.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,309 : 157,963.50 = 31,437 : x
  2. Step 2: Convert to fraction form
    105,309/157,963.50 = 31,437/x
  3. Step 3: Cross multiply
    105,309x = 157,963.50 × 31,437
  4. Step 4: Simplify right side
    105,309x = 4,965,898,549.50
  5. Step 5: Solve for x
    x = 4,965,898,549.50/105,309
  6. Step 6: Final answer
    x = 47,155.50

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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.