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Finding the Fourth Proportional to 70,854.32, 106,208.58 and 31,430

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Solution

The fourth proportional to 70,854.32, 106,208.58 and 31,430 is: 47,112.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,854.32 : 106,208.58 = 31,430 : x
  2. Step 2: Convert to fraction form
    70,854.32/106,208.58 = 31,430/x
  3. Step 3: Cross multiply
    70,854.32x = 106,208.58 × 31,430
  4. Step 4: Simplify right side
    70,854.32x = 3,338,135,669.40
  5. Step 5: Solve for x
    x = 3,338,135,669.40/70,854.32
  6. Step 6: Final answer
    x = 47,112.66

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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.