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Finding the Fourth Proportional to 78,416.53, 117,509.94 and 38,894.74

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Solution

The fourth proportional to 78,416.53, 117,509.94 and 38,894.74 is: 58,285.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,416.53 : 117,509.94 = 38,894.74 : x
  2. Step 2: Convert to fraction form
    78,416.53/117,509.94 = 38,894.74/x
  3. Step 3: Cross multiply
    78,416.53x = 117,509.94 × 38,894.74
  4. Step 4: Simplify right side
    78,416.53x = 4,570,518,563.72
  5. Step 5: Solve for x
    x = 4,570,518,563.72/78,416.53
  6. Step 6: Final answer
    x = 58,285.14

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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.