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Finding the Fourth Proportional to 152,642.84, 210,404.47 and 120,325.06

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Solution

The fourth proportional to 152,642.84, 210,404.47 and 120,325.06 is: 165,857.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,642.84 : 210,404.47 = 120,325.06 : x
  2. Step 2: Convert to fraction form
    152,642.84/210,404.47 = 120,325.06/x
  3. Step 3: Cross multiply
    152,642.84x = 210,404.47 × 120,325.06
  4. Step 4: Simplify right side
    152,642.84x = 25,316,930,477.02
  5. Step 5: Solve for x
    x = 25,316,930,477.02/152,642.84
  6. Step 6: Final answer
    x = 165,857.31

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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.