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Finding the Fourth Proportional to 83,005.76, 114,547.84 and 45,280

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Solution

The fourth proportional to 83,005.76, 114,547.84 and 45,280 is: 62,486.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,005.76 : 114,547.84 = 45,280 : x
  2. Step 2: Convert to fraction form
    83,005.76/114,547.84 = 45,280/x
  3. Step 3: Cross multiply
    83,005.76x = 114,547.84 × 45,280
  4. Step 4: Simplify right side
    83,005.76x = 5,186,726,195.20
  5. Step 5: Solve for x
    x = 5,186,726,195.20/83,005.76
  6. Step 6: Final answer
    x = 62,486.34

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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.