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Finding the Fourth Proportional to 78,006.30, 117,009.45 and 59,574.30

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Solution

The fourth proportional to 78,006.30, 117,009.45 and 59,574.30 is: 89,361.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,006.30 : 117,009.45 = 59,574.30 : x
  2. Step 2: Convert to fraction form
    78,006.30/117,009.45 = 59,574.30/x
  3. Step 3: Cross multiply
    78,006.30x = 117,009.45 × 59,574.30
  4. Step 4: Simplify right side
    78,006.30x = 6,970,756,077.14
  5. Step 5: Solve for x
    x = 6,970,756,077.14/78,006.30
  6. Step 6: Final answer
    x = 89,361.45

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1.5x scale

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.