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Finding the Fourth Proportional to 229,141, 316,216.74 and 128,541.16

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Solution

The fourth proportional to 229,141, 316,216.74 and 128,541.16 is: 177,388.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,141 : 316,216.74 = 128,541.16 : x
  2. Step 2: Convert to fraction form
    229,141/316,216.74 = 128,541.16/x
  3. Step 3: Cross multiply
    229,141x = 316,216.74 × 128,541.16
  4. Step 4: Simplify right side
    229,141x = 40,646,866,571.02
  5. Step 5: Solve for x
    x = 40,646,866,571.02/229,141
  6. Step 6: Final answer
    x = 177,388.01

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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.