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Finding the Fourth Proportional to 153,836.61, 212,305.16 and 85,866.81

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Solution

The fourth proportional to 153,836.61, 212,305.16 and 85,866.81 is: 118,502.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,836.61 : 212,305.16 = 85,866.81 : x
  2. Step 2: Convert to fraction form
    153,836.61/212,305.16 = 85,866.81/x
  3. Step 3: Cross multiply
    153,836.61x = 212,305.16 × 85,866.81
  4. Step 4: Simplify right side
    153,836.61x = 18,229,966,835.74
  5. Step 5: Solve for x
    x = 18,229,966,835.74/153,836.61
  6. Step 6: Final answer
    x = 118,502.14

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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.