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Finding the Fourth Proportional to 205,316.16, 307,985.16 and 65,085.76

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Solution

The fourth proportional to 205,316.16, 307,985.16 and 65,085.76 is: 97,632.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,316.16 : 307,985.16 = 65,085.76 : x
  2. Step 2: Convert to fraction form
    205,316.16/307,985.16 = 65,085.76/x
  3. Step 3: Cross multiply
    205,316.16x = 307,985.16 × 65,085.76
  4. Step 4: Simplify right side
    205,316.16x = 20,045,448,207.32
  5. Step 5: Solve for x
    x = 20,045,448,207.32/205,316.16
  6. Step 6: Final answer
    x = 97,632.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.