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Finding the Fourth Proportional to 130,030.80, 194,657.40 and 77,413.20

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Solution

The fourth proportional to 130,030.80, 194,657.40 and 77,413.20 is: 115,888.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,030.80 : 194,657.40 = 77,413.20 : x
  2. Step 2: Convert to fraction form
    130,030.80/194,657.40 = 77,413.20/x
  3. Step 3: Cross multiply
    130,030.80x = 194,657.40 × 77,413.20
  4. Step 4: Simplify right side
    130,030.80x = 15,069,052,237.68
  5. Step 5: Solve for x
    x = 15,069,052,237.68/130,030.80
  6. Step 6: Final answer
    x = 115,888.33

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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.