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Finding the Fourth Proportional to 213,798.16, 320,602.47 and 113,939.74

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Solution

The fourth proportional to 213,798.16, 320,602.47 and 113,939.74 is: 170,859.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,798.16 : 320,602.47 = 113,939.74 : x
  2. Step 2: Convert to fraction form
    213,798.16/320,602.47 = 113,939.74/x
  3. Step 3: Cross multiply
    213,798.16x = 320,602.47 × 113,939.74
  4. Step 4: Simplify right side
    213,798.16x = 36,529,362,075.16
  5. Step 5: Solve for x
    x = 36,529,362,075.16/213,798.16
  6. Step 6: Final answer
    x = 170,859.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.