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Finding the Fourth Proportional to 153,322.09, 230,030.23 and 78,494.77

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Solution

The fourth proportional to 153,322.09, 230,030.23 and 78,494.77 is: 117,766.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,322.09 : 230,030.23 = 78,494.77 : x
  2. Step 2: Convert to fraction form
    153,322.09/230,030.23 = 78,494.77/x
  3. Step 3: Cross multiply
    153,322.09x = 230,030.23 × 78,494.77
  4. Step 4: Simplify right side
    153,322.09x = 18,056,170,235.38
  5. Step 5: Solve for x
    x = 18,056,170,235.38/153,322.09
  6. Step 6: Final answer
    x = 117,766.27

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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.