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Finding the Fourth Proportional to 101,307.76, 151,955.88 and 27,430

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Solution

The fourth proportional to 101,307.76, 151,955.88 and 27,430 is: 41,143.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,307.76 : 151,955.88 = 27,430 : x
  2. Step 2: Convert to fraction form
    101,307.76/151,955.88 = 27,430/x
  3. Step 3: Cross multiply
    101,307.76x = 151,955.88 × 27,430
  4. Step 4: Simplify right side
    101,307.76x = 4,168,149,788.40
  5. Step 5: Solve for x
    x = 4,168,149,788.40/101,307.76
  6. Step 6: Final answer
    x = 41,143.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.