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Finding the Fourth Proportional to 152,788.39, 210,838.03 and 84,802.10

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Solution

The fourth proportional to 152,788.39, 210,838.03 and 84,802.10 is: 117,021.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,788.39 : 210,838.03 = 84,802.10 : x
  2. Step 2: Convert to fraction form
    152,788.39/210,838.03 = 84,802.10/x
  3. Step 3: Cross multiply
    152,788.39x = 210,838.03 × 84,802.10
  4. Step 4: Simplify right side
    152,788.39x = 17,879,506,437.67
  5. Step 5: Solve for x
    x = 17,879,506,437.67/152,788.39
  6. Step 6: Final answer
    x = 117,021.37

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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.