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Finding the Fourth Proportional to 73,964, 102,070.32 and 40,430

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Solution

The fourth proportional to 73,964, 102,070.32 and 40,430 is: 55,793.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,964 : 102,070.32 = 40,430 : x
  2. Step 2: Convert to fraction form
    73,964/102,070.32 = 40,430/x
  3. Step 3: Cross multiply
    73,964x = 102,070.32 × 40,430
  4. Step 4: Simplify right side
    73,964x = 4,126,703,037.60
  5. Step 5: Solve for x
    x = 4,126,703,037.60/73,964
  6. Step 6: Final answer
    x = 55,793.40

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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.