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Finding the Fourth Proportional to 83,005.65, 114,547.54 and 45,279.63

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Solution

The fourth proportional to 83,005.65, 114,547.54 and 45,279.63 is: 62,485.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,005.65 : 114,547.54 = 45,279.63 : x
  2. Step 2: Convert to fraction form
    83,005.65/114,547.54 = 45,279.63/x
  3. Step 3: Cross multiply
    83,005.65x = 114,547.54 × 45,279.63
  4. Step 4: Simplify right side
    83,005.65x = 5,186,670,228.61
  5. Step 5: Solve for x
    x = 5,186,670,228.61/83,005.65
  6. Step 6: Final answer
    x = 62,485.75

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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.