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Finding the Fourth Proportional to 143,132.47, 214,698.71 and 54,364.98

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Solution

The fourth proportional to 143,132.47, 214,698.71 and 54,364.98 is: 81,547.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,132.47 : 214,698.71 = 54,364.98 : x
  2. Step 2: Convert to fraction form
    143,132.47/214,698.71 = 54,364.98/x
  3. Step 3: Cross multiply
    143,132.47x = 214,698.71 × 54,364.98
  4. Step 4: Simplify right side
    143,132.47x = 11,672,091,075.18
  5. Step 5: Solve for x
    x = 11,672,091,075.18/143,132.47
  6. Step 6: Final answer
    x = 81,547.47

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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.