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Finding the Fourth Proportional to 219,352, 329,029.80 and 53,140

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Solution

The fourth proportional to 219,352, 329,029.80 and 53,140 is: 79,710.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,352 : 329,029.80 = 53,140 : x
  2. Step 2: Convert to fraction form
    219,352/329,029.80 = 53,140/x
  3. Step 3: Cross multiply
    219,352x = 329,029.80 × 53,140
  4. Step 4: Simplify right side
    219,352x = 17,484,643,572
  5. Step 5: Solve for x
    x = 17,484,643,572/219,352
  6. Step 6: Final answer
    x = 79,710.44

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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.