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Finding the Fourth Proportional to 76,421.20, 114,413.10 and 67,673.20

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Solution

The fourth proportional to 76,421.20, 114,413.10 and 67,673.20 is: 101,316.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,421.20 : 114,413.10 = 67,673.20 : x
  2. Step 2: Convert to fraction form
    76,421.20/114,413.10 = 67,673.20/x
  3. Step 3: Cross multiply
    76,421.20x = 114,413.10 × 67,673.20
  4. Step 4: Simplify right side
    76,421.20x = 7,742,700,598.92
  5. Step 5: Solve for x
    x = 7,742,700,598.92/76,421.20
  6. Step 6: Final answer
    x = 101,316.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.