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Finding the Fourth Proportional to 98,840.32, 148,264.61 and 28,719.64

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Solution

The fourth proportional to 98,840.32, 148,264.61 and 28,719.64 is: 43,080.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,840.32 : 148,264.61 = 28,719.64 : x
  2. Step 2: Convert to fraction form
    98,840.32/148,264.61 = 28,719.64/x
  3. Step 3: Cross multiply
    98,840.32x = 148,264.61 × 28,719.64
  4. Step 4: Simplify right side
    98,840.32x = 4,258,106,223.94
  5. Step 5: Solve for x
    x = 4,258,106,223.94/98,840.32
  6. Step 6: Final answer
    x = 43,080.66

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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.