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Finding the Fourth Proportional to 105,662.73, 145,829.51 and 65,389.47

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Solution

The fourth proportional to 105,662.73, 145,829.51 and 65,389.47 is: 90,246.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,662.73 : 145,829.51 = 65,389.47 : x
  2. Step 2: Convert to fraction form
    105,662.73/145,829.51 = 65,389.47/x
  3. Step 3: Cross multiply
    105,662.73x = 145,829.51 × 65,389.47
  4. Step 4: Simplify right side
    105,662.73x = 9,535,714,369.26
  5. Step 5: Solve for x
    x = 9,535,714,369.26/105,662.73
  6. Step 6: Final answer
    x = 90,246.72

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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.