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Finding the Fourth Proportional to 150,278.63, 207,384.50 and 83,210.63

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Solution

The fourth proportional to 150,278.63, 207,384.50 and 83,210.63 is: 114,830.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,278.63 : 207,384.50 = 83,210.63 : x
  2. Step 2: Convert to fraction form
    150,278.63/207,384.50 = 83,210.63/x
  3. Step 3: Cross multiply
    150,278.63x = 207,384.50 × 83,210.63
  4. Step 4: Simplify right side
    150,278.63x = 17,256,594,068.34
  5. Step 5: Solve for x
    x = 17,256,594,068.34/150,278.63
  6. Step 6: Final answer
    x = 114,830.66

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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.