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Finding the Fourth Proportional to 208,858.86, 288,225.45 and 113,365.53

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Solution

The fourth proportional to 208,858.86, 288,225.45 and 113,365.53 is: 156,444.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,858.86 : 288,225.45 = 113,365.53 : x
  2. Step 2: Convert to fraction form
    208,858.86/288,225.45 = 113,365.53/x
  3. Step 3: Cross multiply
    208,858.86x = 288,225.45 × 113,365.53
  4. Step 4: Simplify right side
    208,858.86x = 32,674,830,898.74
  5. Step 5: Solve for x
    x = 32,674,830,898.74/208,858.86
  6. Step 6: Final answer
    x = 156,444.55

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1.5x scale

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.