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Finding the Fourth Proportional to 209,561.48, 314,345.48 and 116,657.72

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Solution

The fourth proportional to 209,561.48, 314,345.48 and 116,657.72 is: 174,988.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,561.48 : 314,345.48 = 116,657.72 : x
  2. Step 2: Convert to fraction form
    209,561.48/314,345.48 = 116,657.72/x
  3. Step 3: Cross multiply
    209,561.48x = 314,345.48 × 116,657.72
  4. Step 4: Simplify right side
    209,561.48x = 36,670,826,989.11
  5. Step 5: Solve for x
    x = 36,670,826,989.11/209,561.48
  6. Step 6: Final answer
    x = 174,988.39

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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.