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Finding the Fourth Proportional to 153,116.76, 211,312.44 and 85,146

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Solution

The fourth proportional to 153,116.76, 211,312.44 and 85,146 is: 117,507.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,116.76 : 211,312.44 = 85,146 : x
  2. Step 2: Convert to fraction form
    153,116.76/211,312.44 = 85,146/x
  3. Step 3: Cross multiply
    153,116.76x = 211,312.44 × 85,146
  4. Step 4: Simplify right side
    153,116.76x = 17,992,409,016.24
  5. Step 5: Solve for x
    x = 17,992,409,016.24/153,116.76
  6. Step 6: Final answer
    x = 117,507.77

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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.