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Finding the Fourth Proportional to 70,948.80, 97,891.68 and 45,768

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Solution

The fourth proportional to 70,948.80, 97,891.68 and 45,768 is: 63,148.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,948.80 : 97,891.68 = 45,768 : x
  2. Step 2: Convert to fraction form
    70,948.80/97,891.68 = 45,768/x
  3. Step 3: Cross multiply
    70,948.80x = 97,891.68 × 45,768
  4. Step 4: Simplify right side
    70,948.80x = 4,480,306,410.24
  5. Step 5: Solve for x
    x = 4,480,306,410.24/70,948.80
  6. Step 6: Final answer
    x = 63,148.45

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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.