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Finding the Fourth Proportional to 64,985.70, 97,478.55 and 31,727.10

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Solution

The fourth proportional to 64,985.70, 97,478.55 and 31,727.10 is: 47,590.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,985.70 : 97,478.55 = 31,727.10 : x
  2. Step 2: Convert to fraction form
    64,985.70/97,478.55 = 31,727.10/x
  3. Step 3: Cross multiply
    64,985.70x = 97,478.55 × 31,727.10
  4. Step 4: Simplify right side
    64,985.70x = 3,092,711,703.71
  5. Step 5: Solve for x
    x = 3,092,711,703.71/64,985.70
  6. Step 6: Final answer
    x = 47,590.65

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1.5x scale

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.