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Finding the Fourth Proportional to 153,681, 212,071.60 and 85,704.96

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Solution

The fourth proportional to 153,681, 212,071.60 and 85,704.96 is: 118,268.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,681 : 212,071.60 = 85,704.96 : x
  2. Step 2: Convert to fraction form
    153,681/212,071.60 = 85,704.96/x
  3. Step 3: Cross multiply
    153,681x = 212,071.60 × 85,704.96
  4. Step 4: Simplify right side
    153,681x = 18,175,587,995.14
  5. Step 5: Solve for x
    x = 18,175,587,995.14/153,681
  6. Step 6: Final answer
    x = 118,268.28

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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.