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Finding the Fourth Proportional to 70,984, 97,957.44 and 39,153.76

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Solution

The fourth proportional to 70,984, 97,957.44 and 39,153.76 is: 54,031.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,984 : 97,957.44 = 39,153.76 : x
  2. Step 2: Convert to fraction form
    70,984/97,957.44 = 39,153.76/x
  3. Step 3: Cross multiply
    70,984x = 97,957.44 × 39,153.76
  4. Step 4: Simplify right side
    70,984x = 3,835,402,095.97
  5. Step 5: Solve for x
    x = 3,835,402,095.97/70,984
  6. Step 6: Final answer
    x = 54,031.92

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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.