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Finding the Fourth Proportional to 105,124.88, 157,328.76 and 81,857.36

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Solution

The fourth proportional to 105,124.88, 157,328.76 and 81,857.36 is: 122,506.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,124.88 : 157,328.76 = 81,857.36 : x
  2. Step 2: Convert to fraction form
    105,124.88/157,328.76 = 81,857.36/x
  3. Step 3: Cross multiply
    105,124.88x = 157,328.76 × 81,857.36
  4. Step 4: Simplify right side
    105,124.88x = 12,878,516,945.67
  5. Step 5: Solve for x
    x = 12,878,516,945.67/105,124.88
  6. Step 6: Final answer
    x = 122,506.84

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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.