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Finding the Fourth Proportional to 99,055.84, 148,228.80 and 85,774.64

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Solution

The fourth proportional to 99,055.84, 148,228.80 and 85,774.64 is: 128,354.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,055.84 : 148,228.80 = 85,774.64 : x
  2. Step 2: Convert to fraction form
    99,055.84/148,228.80 = 85,774.64/x
  3. Step 3: Cross multiply
    99,055.84x = 148,228.80 × 85,774.64
  4. Step 4: Simplify right side
    99,055.84x = 12,714,271,957.63
  5. Step 5: Solve for x
    x = 12,714,271,957.63/99,055.84
  6. Step 6: Final answer
    x = 128,354.59

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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.