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Finding the Fourth Proportional to 152,477.30, 210,419.92 and 84,495.40

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Solution

The fourth proportional to 152,477.30, 210,419.92 and 84,495.40 is: 116,604.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,477.30 : 210,419.92 = 84,495.40 : x
  2. Step 2: Convert to fraction form
    152,477.30/210,419.92 = 84,495.40/x
  3. Step 3: Cross multiply
    152,477.30x = 210,419.92 × 84,495.40
  4. Step 4: Simplify right side
    152,477.30x = 17,779,515,308.37
  5. Step 5: Solve for x
    x = 17,779,515,308.37/152,477.30
  6. Step 6: Final answer
    x = 116,604.34

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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.