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Finding the Fourth Proportional to 70,547.28, 97,340.04 and 40,722

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Solution

The fourth proportional to 70,547.28, 97,340.04 and 40,722 is: 56,187.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,547.28 : 97,340.04 = 40,722 : x
  2. Step 2: Convert to fraction form
    70,547.28/97,340.04 = 40,722/x
  3. Step 3: Cross multiply
    70,547.28x = 97,340.04 × 40,722
  4. Step 4: Simplify right side
    70,547.28x = 3,963,881,108.88
  5. Step 5: Solve for x
    x = 3,963,881,108.88/70,547.28
  6. Step 6: Final answer
    x = 56,187.58

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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.