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Finding the Fourth Proportional to 77,484.32, 116,214.32 and 21,328.64

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Solution

The fourth proportional to 77,484.32, 116,214.32 and 21,328.64 is: 31,989.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,484.32 : 116,214.32 = 21,328.64 : x
  2. Step 2: Convert to fraction form
    77,484.32/116,214.32 = 21,328.64/x
  3. Step 3: Cross multiply
    77,484.32x = 116,214.32 × 21,328.64
  4. Step 4: Simplify right side
    77,484.32x = 2,478,693,394.12
  5. Step 5: Solve for x
    x = 2,478,693,394.12/77,484.32
  6. Step 6: Final answer
    x = 31,989.61

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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.