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Finding the Fourth Proportional to 98,413.92, 147,642.30 and 31,860.72

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Solution

The fourth proportional to 98,413.92, 147,642.30 and 31,860.72 is: 47,798.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,413.92 : 147,642.30 = 31,860.72 : x
  2. Step 2: Convert to fraction form
    98,413.92/147,642.30 = 31,860.72/x
  3. Step 3: Cross multiply
    98,413.92x = 147,642.30 × 31,860.72
  4. Step 4: Simplify right side
    98,413.92x = 4,703,989,980.46
  5. Step 5: Solve for x
    x = 4,703,989,980.46/98,413.92
  6. Step 6: Final answer
    x = 47,798.01

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1.5x scale

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.