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Finding the Fourth Proportional to 153,852.81, 212,149.49 and 100,038.03

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Solution

The fourth proportional to 153,852.81, 212,149.49 and 100,038.03 is: 137,943.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,852.81 : 212,149.49 = 100,038.03 : x
  2. Step 2: Convert to fraction form
    153,852.81/212,149.49 = 100,038.03/x
  3. Step 3: Cross multiply
    153,852.81x = 212,149.49 × 100,038.03
  4. Step 4: Simplify right side
    153,852.81x = 21,223,017,045.10
  5. Step 5: Solve for x
    x = 21,223,017,045.10/153,852.81
  6. Step 6: Final answer
    x = 137,943.64

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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.