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Finding the Fourth Proportional to 153,678.35, 212,071.82 and 85,697.28

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Solution

The fourth proportional to 153,678.35, 212,071.82 and 85,697.28 is: 118,259.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,678.35 : 212,071.82 = 85,697.28 : x
  2. Step 2: Convert to fraction form
    153,678.35/212,071.82 = 85,697.28/x
  3. Step 3: Cross multiply
    153,678.35x = 212,071.82 × 85,697.28
  4. Step 4: Simplify right side
    153,678.35x = 18,173,977,710.16
  5. Step 5: Solve for x
    x = 18,173,977,710.16/153,678.35
  6. Step 6: Final answer
    x = 118,259.85

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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.