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Finding the Fourth Proportional to 152,231.47, 228,485.72 and 81,214.32

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Solution

The fourth proportional to 152,231.47, 228,485.72 and 81,214.32 is: 121,895.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,231.47 : 228,485.72 = 81,214.32 : x
  2. Step 2: Convert to fraction form
    152,231.47/228,485.72 = 81,214.32/x
  3. Step 3: Cross multiply
    152,231.47x = 228,485.72 × 81,214.32
  4. Step 4: Simplify right side
    152,231.47x = 18,556,312,379.51
  5. Step 5: Solve for x
    x = 18,556,312,379.51/152,231.47
  6. Step 6: Final answer
    x = 121,895.38

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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.