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Finding the Fourth Proportional to 153,658, 212,048.04 and 83,002

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Solution

The fourth proportional to 153,658, 212,048.04 and 83,002 is: 114,542.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,658 : 212,048.04 = 83,002 : x
  2. Step 2: Convert to fraction form
    153,658/212,048.04 = 83,002/x
  3. Step 3: Cross multiply
    153,658x = 212,048.04 × 83,002
  4. Step 4: Simplify right side
    153,658x = 17,600,411,416.08
  5. Step 5: Solve for x
    x = 17,600,411,416.08/153,658
  6. Step 6: Final answer
    x = 114,542.76

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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.