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Finding the Fourth Proportional to 78,210.04, 117,314.04 and 19,045.77

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Solution

The fourth proportional to 78,210.04, 117,314.04 and 19,045.77 is: 28,568.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,210.04 : 117,314.04 = 19,045.77 : x
  2. Step 2: Convert to fraction form
    78,210.04/117,314.04 = 19,045.77/x
  3. Step 3: Cross multiply
    78,210.04x = 117,314.04 × 19,045.77
  4. Step 4: Simplify right side
    78,210.04x = 2,234,336,223.61
  5. Step 5: Solve for x
    x = 2,234,336,223.61/78,210.04
  6. Step 6: Final answer
    x = 28,568.41

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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.