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Finding the Fourth Proportional to 71,345.78, 98,457.90 and 43,046

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Solution

The fourth proportional to 71,345.78, 98,457.90 and 43,046 is: 59,403.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,345.78 : 98,457.90 = 43,046 : x
  2. Step 2: Convert to fraction form
    71,345.78/98,457.90 = 43,046/x
  3. Step 3: Cross multiply
    71,345.78x = 98,457.90 × 43,046
  4. Step 4: Simplify right side
    71,345.78x = 4,238,218,763.40
  5. Step 5: Solve for x
    x = 4,238,218,763.40/71,345.78
  6. Step 6: Final answer
    x = 59,403.92

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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.