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Finding the Fourth Proportional to 153,643.50, 211,941.90 and 89,968.86

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Solution

The fourth proportional to 153,643.50, 211,941.90 and 89,968.86 is: 124,106.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,643.50 : 211,941.90 = 89,968.86 : x
  2. Step 2: Convert to fraction form
    153,643.50/211,941.90 = 89,968.86/x
  3. Step 3: Cross multiply
    153,643.50x = 211,941.90 × 89,968.86
  4. Step 4: Simplify right side
    153,643.50x = 19,068,171,129.23
  5. Step 5: Solve for x
    x = 19,068,171,129.23/153,643.50
  6. Step 6: Final answer
    x = 124,106.59

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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.