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Finding the Fourth Proportional to 152,412.71, 210,326.90 and 84,428.26

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Solution

The fourth proportional to 152,412.71, 210,326.90 and 84,428.26 is: 116,509.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,412.71 : 210,326.90 = 84,428.26 : x
  2. Step 2: Convert to fraction form
    152,412.71/210,326.90 = 84,428.26/x
  3. Step 3: Cross multiply
    152,412.71x = 210,326.90 × 84,428.26
  4. Step 4: Simplify right side
    152,412.71x = 17,757,533,250.24
  5. Step 5: Solve for x
    x = 17,757,533,250.24/152,412.71
  6. Step 6: Final answer
    x = 116,509.53

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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.