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Finding the Fourth Proportional to 157,100.18, 216,802.12 and 85,484.14

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Solution

The fourth proportional to 157,100.18, 216,802.12 and 85,484.14 is: 117,970.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,100.18 : 216,802.12 = 85,484.14 : x
  2. Step 2: Convert to fraction form
    157,100.18/216,802.12 = 85,484.14/x
  3. Step 3: Cross multiply
    157,100.18x = 216,802.12 × 85,484.14
  4. Step 4: Simplify right side
    157,100.18x = 18,533,142,778.38
  5. Step 5: Solve for x
    x = 18,533,142,778.38/157,100.18
  6. Step 6: Final answer
    x = 117,970.22

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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.