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Finding the Fourth Proportional to 157,907.52, 217,972.80 and 97,488

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Solution

The fourth proportional to 157,907.52, 217,972.80 and 97,488 is: 134,570.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,907.52 : 217,972.80 = 97,488 : x
  2. Step 2: Convert to fraction form
    157,907.52/217,972.80 = 97,488/x
  3. Step 3: Cross multiply
    157,907.52x = 217,972.80 × 97,488
  4. Step 4: Simplify right side
    157,907.52x = 21,249,732,326.40
  5. Step 5: Solve for x
    x = 21,249,732,326.40/157,907.52
  6. Step 6: Final answer
    x = 134,570.74

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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.