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Finding the Fourth Proportional to 209,416.60, 314,124.90 and 129,700.45

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Solution

The fourth proportional to 209,416.60, 314,124.90 and 129,700.45 is: 194,550.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,416.60 : 314,124.90 = 129,700.45 : x
  2. Step 2: Convert to fraction form
    209,416.60/314,124.90 = 129,700.45/x
  3. Step 3: Cross multiply
    209,416.60x = 314,124.90 × 129,700.45
  4. Step 4: Simplify right side
    209,416.60x = 40,742,140,886.21
  5. Step 5: Solve for x
    x = 40,742,140,886.21/209,416.60
  6. Step 6: Final answer
    x = 194,550.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.