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Finding the Fourth Proportional to 105,681.64, 145,855.56 and 65,408.32

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Solution

The fourth proportional to 105,681.64, 145,855.56 and 65,408.32 is: 90,272.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,681.64 : 145,855.56 = 65,408.32 : x
  2. Step 2: Convert to fraction form
    105,681.64/145,855.56 = 65,408.32/x
  3. Step 3: Cross multiply
    105,681.64x = 145,855.56 × 65,408.32
  4. Step 4: Simplify right side
    105,681.64x = 9,540,167,142.26
  5. Step 5: Solve for x
    x = 9,540,167,142.26/105,681.64
  6. Step 6: Final answer
    x = 90,272.70

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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.