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Finding the Fourth Proportional to 153,807.14, 212,253.15 and 85,820.15

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Solution

The fourth proportional to 153,807.14, 212,253.15 and 85,820.15 is: 118,431.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,807.14 : 212,253.15 = 85,820.15 : x
  2. Step 2: Convert to fraction form
    153,807.14/212,253.15 = 85,820.15/x
  3. Step 3: Cross multiply
    153,807.14x = 212,253.15 × 85,820.15
  4. Step 4: Simplify right side
    153,807.14x = 18,215,596,109.71
  5. Step 5: Solve for x
    x = 18,215,596,109.71/153,807.14
  6. Step 6: Final answer
    x = 118,431.41

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1.5x scale

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.