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Finding the Fourth Proportional to 70,721.25, 97,597.97 and 42,421.47

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Solution

The fourth proportional to 70,721.25, 97,597.97 and 42,421.47 is: 58,543.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,721.25 : 97,597.97 = 42,421.47 : x
  2. Step 2: Convert to fraction form
    70,721.25/97,597.97 = 42,421.47/x
  3. Step 3: Cross multiply
    70,721.25x = 97,597.97 × 42,421.47
  4. Step 4: Simplify right side
    70,721.25x = 4,140,248,656.32
  5. Step 5: Solve for x
    x = 4,140,248,656.32/70,721.25
  6. Step 6: Final answer
    x = 58,543.21

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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.