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Finding the Fourth Proportional to 105,685.40, 145,860.84 and 65,412.14

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Solution

The fourth proportional to 105,685.40, 145,860.84 and 65,412.14 is: 90,278.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,685.40 : 145,860.84 = 65,412.14 : x
  2. Step 2: Convert to fraction form
    105,685.40/145,860.84 = 65,412.14/x
  3. Step 3: Cross multiply
    105,685.40x = 145,860.84 × 65,412.14
  4. Step 4: Simplify right side
    105,685.40x = 9,541,069,686.60
  5. Step 5: Solve for x
    x = 9,541,069,686.60/105,685.40
  6. Step 6: Final answer
    x = 90,278.03

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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.