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Finding the Fourth Proportional to 219,541.32, 302,967 and 118,939.32

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Solution

The fourth proportional to 219,541.32, 302,967 and 118,939.32 is: 164,136.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,541.32 : 302,967 = 118,939.32 : x
  2. Step 2: Convert to fraction form
    219,541.32/302,967 = 118,939.32/x
  3. Step 3: Cross multiply
    219,541.32x = 302,967 × 118,939.32
  4. Step 4: Simplify right side
    219,541.32x = 36,034,688,962.44
  5. Step 5: Solve for x
    x = 36,034,688,962.44/219,541.32
  6. Step 6: Final answer
    x = 164,136.25

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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.