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Finding the Fourth Proportional to 70,977.84, 97,955.16 and 39,149.52

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Solution

The fourth proportional to 70,977.84, 97,955.16 and 39,149.52 is: 54,029.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,977.84 : 97,955.16 = 39,149.52 : x
  2. Step 2: Convert to fraction form
    70,977.84/97,955.16 = 39,149.52/x
  3. Step 3: Cross multiply
    70,977.84x = 97,955.16 × 39,149.52
  4. Step 4: Simplify right side
    70,977.84x = 3,834,897,495.52
  5. Step 5: Solve for x
    x = 3,834,897,495.52/70,977.84
  6. Step 6: Final answer
    x = 54,029.50

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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.