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Finding the Fourth Proportional to 152,398.88, 210,308.23 and 84,415.63

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Solution

The fourth proportional to 152,398.88, 210,308.23 and 84,415.63 is: 116,492.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,398.88 : 210,308.23 = 84,415.63 : x
  2. Step 2: Convert to fraction form
    152,398.88/210,308.23 = 84,415.63/x
  3. Step 3: Cross multiply
    152,398.88x = 210,308.23 × 84,415.63
  4. Step 4: Simplify right side
    152,398.88x = 17,753,301,729.63
  5. Step 5: Solve for x
    x = 17,753,301,729.63/152,398.88
  6. Step 6: Final answer
    x = 116,492.34

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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.