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Finding the Fourth Proportional to 142,490, 213,735 and 59,384

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Solution

The fourth proportional to 142,490, 213,735 and 59,384 is: 89,076

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,490 : 213,735 = 59,384 : x
  2. Step 2: Convert to fraction form
    142,490/213,735 = 59,384/x
  3. Step 3: Cross multiply
    142,490x = 213,735 × 59,384
  4. Step 4: Simplify right side
    142,490x = 12,692,439,240
  5. Step 5: Solve for x
    x = 12,692,439,240/142,490
  6. Step 6: Final answer
    x = 89,076

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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.