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Finding the Fourth Proportional to 71,547.48, 98,689.86 and 56,435.22

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Solution

The fourth proportional to 71,547.48, 98,689.86 and 56,435.22 is: 77,844.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,547.48 : 98,689.86 = 56,435.22 : x
  2. Step 2: Convert to fraction form
    71,547.48/98,689.86 = 56,435.22/x
  3. Step 3: Cross multiply
    71,547.48x = 98,689.86 × 56,435.22
  4. Step 4: Simplify right side
    71,547.48x = 5,569,583,960.87
  5. Step 5: Solve for x
    x = 5,569,583,960.87/71,547.48
  6. Step 6: Final answer
    x = 77,844.59

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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.