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Finding the Fourth Proportional to 61,290.40, 91,924.64 and 16,312

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Solution

The fourth proportional to 61,290.40, 91,924.64 and 16,312 is: 24,465.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,290.40 : 91,924.64 = 16,312 : x
  2. Step 2: Convert to fraction form
    61,290.40/91,924.64 = 16,312/x
  3. Step 3: Cross multiply
    61,290.40x = 91,924.64 × 16,312
  4. Step 4: Simplify right side
    61,290.40x = 1,499,474,727.68
  5. Step 5: Solve for x
    x = 1,499,474,727.68/61,290.40
  6. Step 6: Final answer
    x = 24,465.08

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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.