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Finding the Fourth Proportional to 223,971, 309,094.56 and 148,534.08

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Solution

The fourth proportional to 223,971, 309,094.56 and 148,534.08 is: 204,986.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,971 : 309,094.56 = 148,534.08 : x
  2. Step 2: Convert to fraction form
    223,971/309,094.56 = 148,534.08/x
  3. Step 3: Cross multiply
    223,971x = 309,094.56 × 148,534.08
  4. Step 4: Simplify right side
    223,971x = 45,911,076,102.60
  5. Step 5: Solve for x
    x = 45,911,076,102.60/223,971
  6. Step 6: Final answer
    x = 204,986.70

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1.5x scale

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.