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Finding the Fourth Proportional to 106,602.86, 147,109.73 and 61,279.67

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Solution

The fourth proportional to 106,602.86, 147,109.73 and 61,279.67 is: 84,564.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,602.86 : 147,109.73 = 61,279.67 : x
  2. Step 2: Convert to fraction form
    106,602.86/147,109.73 = 61,279.67/x
  3. Step 3: Cross multiply
    106,602.86x = 147,109.73 × 61,279.67
  4. Step 4: Simplify right side
    106,602.86x = 9,014,834,666.24
  5. Step 5: Solve for x
    x = 9,014,834,666.24/106,602.86
  6. Step 6: Final answer
    x = 84,564.66

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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.