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Finding the Fourth Proportional to 102,018, 140,798.08 and 57,306

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Solution

The fourth proportional to 102,018, 140,798.08 and 57,306 is: 79,089.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,018 : 140,798.08 = 57,306 : x
  2. Step 2: Convert to fraction form
    102,018/140,798.08 = 57,306/x
  3. Step 3: Cross multiply
    102,018x = 140,798.08 × 57,306
  4. Step 4: Simplify right side
    102,018x = 8,068,574,772.48
  5. Step 5: Solve for x
    x = 8,068,574,772.48/102,018
  6. Step 6: Final answer
    x = 79,089.72

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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.