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Finding the Fourth Proportional to 153,248.64, 211,492.64 and 85,280.78

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Solution

The fourth proportional to 153,248.64, 211,492.64 and 85,280.78 is: 117,692.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,248.64 : 211,492.64 = 85,280.78 : x
  2. Step 2: Convert to fraction form
    153,248.64/211,492.64 = 85,280.78/x
  3. Step 3: Cross multiply
    153,248.64x = 211,492.64 × 85,280.78
  4. Step 4: Simplify right side
    153,248.64x = 18,036,257,303.46
  5. Step 5: Solve for x
    x = 18,036,257,303.46/153,248.64
  6. Step 6: Final answer
    x = 117,692.77

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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.