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Finding the Fourth Proportional to 145,952.16, 201,413.90 and 78,884.16

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Solution

The fourth proportional to 145,952.16, 201,413.90 and 78,884.16 is: 108,860.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,952.16 : 201,413.90 = 78,884.16 : x
  2. Step 2: Convert to fraction form
    145,952.16/201,413.90 = 78,884.16/x
  3. Step 3: Cross multiply
    145,952.16x = 201,413.90 × 78,884.16
  4. Step 4: Simplify right side
    145,952.16x = 15,888,366,674.71
  5. Step 5: Solve for x
    x = 15,888,366,674.71/145,952.16
  6. Step 6: Final answer
    x = 108,860.10

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1.5x scale

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.