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Finding the Fourth Proportional to 86,894.64, 130,352.28 and 30,723.12

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Solution

The fourth proportional to 86,894.64, 130,352.28 and 30,723.12 is: 46,088.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,894.64 : 130,352.28 = 30,723.12 : x
  2. Step 2: Convert to fraction form
    86,894.64/130,352.28 = 30,723.12/x
  3. Step 3: Cross multiply
    86,894.64x = 130,352.28 × 30,723.12
  4. Step 4: Simplify right side
    86,894.64x = 4,004,828,740.71
  5. Step 5: Solve for x
    x = 4,004,828,740.71/86,894.64
  6. Step 6: Final answer
    x = 46,088.33

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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.