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Finding the Fourth Proportional to 157,413.10, 236,119.65 and 86,554.30

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Solution

The fourth proportional to 157,413.10, 236,119.65 and 86,554.30 is: 129,831.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,413.10 : 236,119.65 = 86,554.30 : x
  2. Step 2: Convert to fraction form
    157,413.10/236,119.65 = 86,554.30/x
  3. Step 3: Cross multiply
    157,413.10x = 236,119.65 × 86,554.30
  4. Step 4: Simplify right side
    157,413.10x = 20,437,171,022.00
  5. Step 5: Solve for x
    x = 20,437,171,022.00/157,413.10
  6. Step 6: Final answer
    x = 129,831.45

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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.