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Finding the Fourth Proportional to 153,661.94, 211,570.92 and 130,646.50

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Solution

The fourth proportional to 153,661.94, 211,570.92 and 130,646.50 is: 179,881.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,661.94 : 211,570.92 = 130,646.50 : x
  2. Step 2: Convert to fraction form
    153,661.94/211,570.92 = 130,646.50/x
  3. Step 3: Cross multiply
    153,661.94x = 211,570.92 × 130,646.50
  4. Step 4: Simplify right side
    153,661.94x = 27,641,000,199.78
  5. Step 5: Solve for x
    x = 27,641,000,199.78/153,661.94
  6. Step 6: Final answer
    x = 179,881.89

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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.