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Finding the Fourth Proportional to 70,678.89, 97,537.64 and 38,413.53

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Solution

The fourth proportional to 70,678.89, 97,537.64 and 38,413.53 is: 53,011.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,678.89 : 97,537.64 = 38,413.53 : x
  2. Step 2: Convert to fraction form
    70,678.89/97,537.64 = 38,413.53/x
  3. Step 3: Cross multiply
    70,678.89x = 97,537.64 × 38,413.53
  4. Step 4: Simplify right side
    70,678.89x = 3,746,764,868.20
  5. Step 5: Solve for x
    x = 3,746,764,868.20/70,678.89
  6. Step 6: Final answer
    x = 53,011.09

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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.