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Finding the Fourth Proportional to 78,318.66, 108,030.58 and 46,465

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Solution

The fourth proportional to 78,318.66, 108,030.58 and 46,465 is: 64,092.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,318.66 : 108,030.58 = 46,465 : x
  2. Step 2: Convert to fraction form
    78,318.66/108,030.58 = 46,465/x
  3. Step 3: Cross multiply
    78,318.66x = 108,030.58 × 46,465
  4. Step 4: Simplify right side
    78,318.66x = 5,019,640,899.70
  5. Step 5: Solve for x
    x = 5,019,640,899.70/78,318.66
  6. Step 6: Final answer
    x = 64,092.53

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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.