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Finding the Fourth Proportional to 81,827.40, 112,775 and 60,569.76

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Solution

The fourth proportional to 81,827.40, 112,775 and 60,569.76 is: 83,477.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,827.40 : 112,775 = 60,569.76 : x
  2. Step 2: Convert to fraction form
    81,827.40/112,775 = 60,569.76/x
  3. Step 3: Cross multiply
    81,827.40x = 112,775 × 60,569.76
  4. Step 4: Simplify right side
    81,827.40x = 6,830,754,684
  5. Step 5: Solve for x
    x = 6,830,754,684/81,827.40
  6. Step 6: Final answer
    x = 83,477.60

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1.5x scale

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.