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Finding the Fourth Proportional to 77,602.34, 116,447.26 and 77,009.42

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Solution

The fourth proportional to 77,602.34, 116,447.26 and 77,009.42 is: 115,557.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,602.34 : 116,447.26 = 77,009.42 : x
  2. Step 2: Convert to fraction form
    77,602.34/116,447.26 = 77,009.42/x
  3. Step 3: Cross multiply
    77,602.34x = 116,447.26 × 77,009.42
  4. Step 4: Simplify right side
    77,602.34x = 8,967,535,953.19
  5. Step 5: Solve for x
    x = 8,967,535,953.19/77,602.34
  6. Step 6: Final answer
    x = 115,557.55

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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.