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Finding the Fourth Proportional to 52,303.52, 72,175.86 and 28,430

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Solution

The fourth proportional to 52,303.52, 72,175.86 and 28,430 is: 39,231.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,303.52 : 72,175.86 = 28,430 : x
  2. Step 2: Convert to fraction form
    52,303.52/72,175.86 = 28,430/x
  3. Step 3: Cross multiply
    52,303.52x = 72,175.86 × 28,430
  4. Step 4: Simplify right side
    52,303.52x = 2,051,959,699.80
  5. Step 5: Solve for x
    x = 2,051,959,699.80/52,303.52
  6. Step 6: Final answer
    x = 39,231.77

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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.