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Finding the Fourth Proportional to 105,646.96, 145,793.96 and 57,899.28

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Solution

The fourth proportional to 105,646.96, 145,793.96 and 57,899.28 is: 79,901.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,646.96 : 145,793.96 = 57,899.28 : x
  2. Step 2: Convert to fraction form
    105,646.96/145,793.96 = 57,899.28/x
  3. Step 3: Cross multiply
    105,646.96x = 145,793.96 × 57,899.28
  4. Step 4: Simplify right side
    105,646.96x = 8,441,365,312.35
  5. Step 5: Solve for x
    x = 8,441,365,312.35/105,646.96
  6. Step 6: Final answer
    x = 79,901.64

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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.