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Finding the Fourth Proportional to 105,574.92, 145,638.18 and 65,275.80

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Solution

The fourth proportional to 105,574.92, 145,638.18 and 65,275.80 is: 90,046.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,574.92 : 145,638.18 = 65,275.80 : x
  2. Step 2: Convert to fraction form
    105,574.92/145,638.18 = 65,275.80/x
  3. Step 3: Cross multiply
    105,574.92x = 145,638.18 × 65,275.80
  4. Step 4: Simplify right side
    105,574.92x = 9,506,648,710.04
  5. Step 5: Solve for x
    x = 9,506,648,710.04/105,574.92
  6. Step 6: Final answer
    x = 90,046.47

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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.